Reconstruction of centrally symmetric convex bodies in Rn
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2022-05-19 10:00
SM ISO690:2012
ARAMYAN, R. Reconstruction of centrally symmetric convex bodies in Rn. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2011, nr. 1(65), pp. 28-32. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(65) / 2011 / ISSN 1024-7696 /ISSNe 2587-4322

Reconstruction of centrally symmetric convex bodies in Rn

Pag. 28-32

Aramyan R
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 6 decembrie 2013


Rezumat

The article considers the problem of existence and uniqueness of a centrally symmetric convex body in Rn for which the projection curvature radius function coincides with given function. A necessary and su±cient condition is found that ensures a positive answer. Also we ¯nd a representation for the support function of a centrally symmetric convex body.